Stochastic separatrix

The same approach has been used in Ref. 68 to derive an eigenfunction of the Fokker-Planck operator as well as the stochastic separatrix in phase space (71-73). The dynamics in the normal mode representation was also used in conjunction with the re-... 

The theoretical foundation for defining a transition state in multidimensional space is based on the concept of a stochastic separatrix. The stochastic separatrix is defined as the locus of structures having equal probabilities of reaching the products (native state) and reactants (denatured state). This idea was first introduced in the context of condensed-phase chemical reac-... 

The Kramers Problem in the Turnover Regime The Role of the Stochastic Separatrix. 

Equistability of a homogeneous stable stationary state on the upper branch of the hysteresis loop, labelled I in Fig. 11.1, with a homogeneous stable stationary state on the lower branch, labelled II, occurs at one value of the influx coefficient k within the loop. Say that point occms at the location of line A. The predictions of the stationary solution of the master stochastic master equation are (a) the minimmn of the bimodal stationary probability distribution is located on the separatrix, and (b) at equistability the probability of fluctuations P(c) obeys the condition... 

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